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3 years ago

What is the minimum number of degrees in order for the pentagon to map onto itself

Mathematics

1 answer:

amid [387]3 years ago

3 0

Answer:

We can divide the pentagon (5 sides) into five inscribed triangles with central vertex angles of 72 degrees. 360 degrees ÷ 5 = 72 degrees....complete rotation is 360 degrees So each rotation of the pentagon of 72 degrees will be identical

Step-by-step explanation:

hope it helps :))

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DUE IN THE NEXT 10 MINUTES, PLEASE HELP! Describe the strategy used to find an equation of a line, given its slope and a point o

Llana [10]

Y=mx+b helps to find slope of a line.
B is where it starts on the y axis.
m is the slope.

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3 years ago

Find factors of 40 that will SUBTRACT to 3 Smaller factor: Larger factor:

Cloud [144]

8 and 5 multiply to 40 but subtract to 3.

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3 years ago

What is a positive angle less than 360 degrees that is conterminal with -289 degrees

wel

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis

When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis

To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

4 0

3 years ago

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tekilochka [14]

Answer:

Step-by-step explanation:

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3 years ago

Solve for w, where w is a real number.

Ber [7]

Answer:

w= 9

Step-by-step explanation:

$\sqrt{ - 4w + 61} = w - 4$

Square both sides:

-4w +61= (w -4)²

$\boxed{(a - b)^{2} = a^2 -2ab + b^2 }$

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

Why do we use negative square root?

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0

2 years ago

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